結果

問題 No.147 試験監督（2）
ユーザー ぴろずぴろず
提出日時 2015-02-09 01:16:42
言語 Java21
(openjdk 21)
結果
AC  
実行時間 602 ms / 2,000 ms
コード長 5,384 bytes
コンパイル時間 2,161 ms
コンパイル使用メモリ 78,392 KB
実行使用メモリ 59,852 KB
最終ジャッジ日時 2024-06-23 11:02:52
合計ジャッジ時間 5,163 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 577 ms
59,824 KB
testcase_01 AC 572 ms
59,852 KB
testcase_02 AC 602 ms
59,760 KB
testcase_03 AC 52 ms
50,300 KB
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ソースコード

diff # 

package no147a;

import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;

public class Main {
	static int MAX = 80000;
	static long MOD = 1000000007;
	static BigInteger MODDECBI = BigInteger.valueOf(MOD-1);
	public static void main(String[] args) {
		IO io = new IO();

		int n = io.nextInt();
		long ans = 1;
		for(int i=0;i<n;i++) {
			long c = io.nextLong();
			long d = new BigInteger(io.next()).mod(MODDECBI).longValue();
			long c2 = fibMod(c + 2, MOD);
			ans = ans * modPow(c2,d,MOD) % MOD;
		}
		System.out.println(ans);
	}

	public static long modPow(long x,long n,long mod) {
		if (x == 0) {
			return 0; //0^0 (mod M)
		}
		long res = 1;
		while(n > 0) {
			if ((n & 1) > 0) {
				res = (res * x) % mod;
			}
			x = (x * x) % mod;
			n/=2;
		}
		return res;
	}

	public static BigInteger modpow(BigInteger x,BigInteger n,BigInteger mod) {
		BigInteger res = BigInteger.ONE;
		while(n.signum() > 0) {
			if ((n.testBit(0))) {
				res = res.multiply(x).remainder(mod);
			}
			x = x.multiply(x).remainder(mod);
			x.shiftRight(1);
		}
		return res;
	}

	public static long fibMod(long n,long mod) {
		// | Fn+1 Fn  | = | 1 1 |n
		// | Fn   Fn-1|   | 1 0 |
		long m2 = 1;
		long m1 = 1;
		long m0 = 0;
		long x2 = 1;
		long x1 = 0;
		long x0 = 1;
		while(n > 0) {
			if (n % 2 == 1) {
				long a2 = (x2 * m2 + x1 * m1) % MOD;
				long a1 = (x2 * m1 + x1 * m0) % MOD;
				long a0 = (x1 * m1 + x0 * m0) % MOD;
				x2 = a2;
				x1 = a1;
				x0 = a0;
			}
			n /= 2;
			if (n > 0) {
				long a2 = (m2 * m2 + m1 * m1) % MOD;
				long a1 = (m2 * m1 + m1 * m0) % MOD;
				long a0 = (m1 * m1 + m0 * m0) % MOD;
				m2 = a2;
				m1 = a1;
				m0 = a0;
			}
		}
		return x1;
	}
}

class IO extends PrintWriter {
	private final InputStream in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;

	public IO() { this(System.in);}
	public IO(InputStream source) { super(System.out); this.in = source;}
	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		}else{
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen <= 0) {
				return false;
			}
		}
		return true;
	}
	private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
	private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
	private static boolean isNewLine(int c) { return c == '\n' || c == '\r';}
	private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
	private void skipNewLine() { while(hasNextByte() && isNewLine(buffer[ptr])) ptr++;}
	public boolean hasNext() { skipUnprintable(); return hasNextByte();}
	public boolean hasNextLine() { skipNewLine(); return hasNextByte();}
	public String next() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	public char[] nextCharArray(int len) {
		char[] s = new char[len];
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		int i = 0;
		int b = readByte();
		while(isPrintableChar(b)) {
			if (i == len) {
				throw new InputMismatchException();
			}
			s[i++] = (char) b;
			b = readByte();
		}
		return s;
	}
	public String nextLine() {
		if (!hasNextLine()) {
			throw new NoSuchElementException();
		}
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(!isNewLine(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	public long nextLong() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while(true){
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			}else if(b == -1 || !isPrintableChar(b)){
				return minus ? -n : n;
			}else{
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}
	public int nextInt() {
		long nl = nextLong();
		if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) {
			throw new NumberFormatException();
		}
		return (int) nl;
	}
	public char nextChar() {
		if (!hasNext()) {
			throw new NoSuchElementException();
		}
		return (char) readByte();
	}
	public double nextDouble() { return Double.parseDouble(next());}
	public int[] arrayInt(int n) { int[] a = new int[n]; for(int i=0;i<n;i++) a[i] = nextInt(); return a;}
	public long[] arrayLong(int n) { long[] a = new long[n]; for(int i=0;i<n;i++) a[i] = nextLong(); return a;}
	public double[] arrayDouble(int n) { double[] a = new double[n]; for(int i=0;i<n;i++) a[i] = nextDouble(); return a;}
	public void arrayInt(int[]... a) {for(int i=0;i<a[0].length;i++) for(int j=0;j<a.length;j++) a[j][i] = nextInt();}
	public int[][] matrixInt(int n,int m) { int[][] a = new int[n][m]; for(int i=0;i<n;i++) a[i] = arrayInt(m); return a;}
	public char[][] charMap(int n,int m) { char[][] a = new char[n][m]; for(int i=0;i<n;i++) a[i] = nextCharArray(m); return a;}
	public void close() {
		super.close();
		try {
			in.close();
		} catch (IOException e) {}
	}
}
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